In this exercise, we investigate answers to the questions: How much of an effect does your roommate have on your grades? In particular, does it matter whether your roommate brings a videogame to college? A study was conducted involving n = 210 first-year students who were randomly assigned a roommate. Table 1 gives summary statistics on grade point average (GPA) for the first semester depending on whether the student and/or the roommate brought a videogame to campus. Student brought videogame No Yes No Yes Roommate brought videogame No No Yes Yes Sample size Mean GPA 88 44 38 40 3.128 3.039 2.932 2.754 Table 1 Videogames and GPA St. Dev. 0.590 0.689 0.699 0.639 Considering only students whose roommate does not bring a videogame to campus, find a 99% confidence interval for the difference in mean GPA between students who bring a videogame and those who do not bring a videogame μN - μy, where μN represents the mean GPA for students who do not bring a videogame and μy represents the mean GPA for students who do bring a videogame.

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Impact of College Roommates on Grades
In this exercise, we investigate answers to the questions: How much of an effect does your roommate have on your grades? In
particular, does it matter whether your roommate brings a videogame to college? A study was conducted involving n = 210 first-year
students who were randomly assigned a roommate. Table 1 gives summary statistics on grade point average (GPA) for the first
semester depending on whether the student and/or the roommate brought a videogame to campus.
Student
brought
videogame
No
Yes
No
Yes
Roommate
brought
videogame
No
No
Yes
Yes
Sample size
88
44
38
40
Mean GPA
3.128
3.039
2.932
2.754
Table 1 Videogames and GPA
St. Dev.
0.590
0.689
0.699
0.639
Considering only students whose roommate does not bring a videogame to campus, find a 99% confidence interval for the difference in
mean GPA between students who bring a videogame and those who do not bring a videogame μN - My, where μ represents the
mean GPA for students who do not bring a videogame and μy represents the mean GPA for students who do bring a videogame.
Transcribed Image Text:Impact of College Roommates on Grades In this exercise, we investigate answers to the questions: How much of an effect does your roommate have on your grades? In particular, does it matter whether your roommate brings a videogame to college? A study was conducted involving n = 210 first-year students who were randomly assigned a roommate. Table 1 gives summary statistics on grade point average (GPA) for the first semester depending on whether the student and/or the roommate brought a videogame to campus. Student brought videogame No Yes No Yes Roommate brought videogame No No Yes Yes Sample size 88 44 38 40 Mean GPA 3.128 3.039 2.932 2.754 Table 1 Videogames and GPA St. Dev. 0.590 0.689 0.699 0.639 Considering only students whose roommate does not bring a videogame to campus, find a 99% confidence interval for the difference in mean GPA between students who bring a videogame and those who do not bring a videogame μN - My, where μ represents the mean GPA for students who do not bring a videogame and μy represents the mean GPA for students who do bring a videogame.
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